Details

Time bar (total: 16.2s)

sample43.0ms

Algorithm
intervals
Results
29.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations
IterNodes
314
214
113
010

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize36.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (log (hypot re im)) (log 10))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
11×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
10×log-pow
4×associate-/r* associate-/l*
3×add-cbrt-cube add-exp-log
1×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 39
Calls
1 calls:
7.0ms
(/ (log (hypot re im)) (log 10))

series239.0ms

Counts
1 → 3
Calls
1 calls:
239.0ms
(/ (log (hypot re im)) (log 10))

simplify1.1s

Counts
42 → 42
Iterations
IterNodes
42001
3671
2280
1117
067

prune233.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
0.5b
(/ (log (hypot re im)) (sqrt (log 10)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
96×add-sqr-sqrt
59×sqrt-prod
56×*-un-lft-identity
50×add-cube-cbrt
32×associate-*r*
31×pow1
27×log-pow
26×add-exp-log
25×associate-*l*
16×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×cbrt-unprod associate-/l*
3×div-inv
2×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 153
Calls
2 calls:
24.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
14.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series525.0ms

Counts
2 → 6
Calls
2 calls:
230.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
295.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

simplify4.4s

Counts
159 → 159
Iterations
IterNodes
33382
21421
1471
0178

prune572.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))
0.3b
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
46×times-frac
45×add-sqr-sqrt
40×prod-exp
35×*-un-lft-identity
33×add-cube-cbrt
29×associate-*r*
28×add-cbrt-cube
26×associate-*l* sqrt-prod
20×div-exp
16×pow1
12×cbrt-unprod
10×rec-exp 1-exp
7×log-pow
6×cbrt-undiv log-prod
5×unswap-sqr
4×pow-prod-down associate-*l/
3×distribute-rgt-in distribute-lft-in
2×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
1×frac-times associate-*r/ un-div-inv
Counts
2 → 128
Calls
2 calls:
76.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))
16.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

series567.0ms

Counts
2 → 6
Calls
2 calls:
231.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))
336.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

simplify3.7s

Counts
134 → 134
Iterations
IterNodes
32961
21248
1513
0193

prune553.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (hypot re im))
0.5b
(cbrt (hypot re im))
0.5b
(cbrt (hypot re im))
0.5b
(* (cbrt (hypot re im)) (cbrt (hypot re im)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
1.0ms
(cbrt (hypot re im))
1.0ms
(cbrt (hypot re im))
1.0ms
(cbrt (hypot re im))
8.0ms
(* (cbrt (hypot re im)) (cbrt (hypot re im)))

series657.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (hypot re im))
173.0ms
(cbrt (hypot re im))
171.0ms
(cbrt (hypot re im))
158.0ms
(* (cbrt (hypot re im)) (cbrt (hypot re im)))

simplify1.4s

Counts
97 → 97
Iterations
IterNodes
42206
3882
2402
1164
080

prune577.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0.0b

regimes217.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
213
113
011

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.0s8000×body80valid